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Intro to the theta correspondence II

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NC2W01 - Making the bridge: Exploring new connections between number theory and physics

In this series of talks, I will provide a brief introduction to the theta correspondence for non-specialists. The classical theory of theta functions is one of the most basic parts of the theory of modular forms. Its reformulation in terms of representation theory reveals a lot of not previously evident structure and, for example, allows one to transfer automorphic representations between groups in a dual pair. I will describe this theta correspondence and the (regularized) Siegel-Weil formula and Rallis inner product formula which link the non-vanishing of the correspondence to poles and values of Langlands L-functions.

This talk is part of the Isaac Newton Institute Seminar Series series.

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Service Systems Forum will be held in the Darwin Room of the Pitt Building (cnr Silver and Trumpington Streets). The Castle Inn, 38 Castle St, Cambridge, CB3 0AJ (first floor) in person & via zoom

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